{
  "as_of": "2026-09-07",
  "references": [
    {
      "title": "Asymptotic sieve for primes",
      "authors": [
        "John Friedlander",
        "Henryk Iwaniec"
      ],
      "venue": "Annals of Mathematics 148 (1998), 1041-1065",
      "doi": "10.2307/121035",
      "role": "Nonnegative asymptotic sieve; technical Type-I/Type-II axioms; Section-6 main-density leakage A(x) log(delta)/log(Delta)"
    },
    {
      "title": "On the theory of prime-producing sieves",
      "authors": [
        "Kevin Ford",
        "James Maynard"
      ],
      "role": "Modern systematic Type-I/Type-II theory; signed difference w=a-b; arbitrary log-power prime-sum control in asymptotic region; sharp counterexamples outside sufficient parameter ranges"
    }
  ]
}